One way to estimate the average value of a function on an interval is to split that interval into a number of evenly-spaced sub-intervals, N, add up the value of the function at each end point of a sub-interval (N+1 such end points in total), and then divide that sum by the total number of end points of sub-intervals. Write a function approximate_averagef(f, a, b, N) which uses the method de- scribed above to calculate, print out, and return an approximation to the average value of a given function f on an interval [a, b] using N + 1 end points of equally- spaced subintervals (i.e., N subintervals).
One way to estimate the average value of a function on an interval is to split that interval into a number of evenly-spaced sub-intervals, N, add up the value of the function at each end point of a sub-interval (N+1 such end points in total), and then divide that sum by the total number of end points of sub-intervals. Write a function approximate_averagef(f, a, b, N) which uses the method de- scribed above to calculate, print out, and return an approximation to the average value of a given function f on an interval [a, b] using N + 1 end points of equally- spaced subintervals (i.e., N subintervals).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![One way to estimate the average value of a function on an interval is to split that
interval into a number of evenly-spaced sub-intervals, N, add up the value of the
function at each end point of a sub-interval (N+1 such end points in total), and then
divide that sum by the total number of end points of sub-intervals.
Write a function approximate_averagef(f, a, b, N) which uses the method de-
scribed above to calculate, print out, and return an approximation to the average
value of a given function f on an interval [a, b] using N + 1 end points of equally-
spaced subintervals (i.e., N subintervals).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38e693cf-3870-4eab-9920-bd211e6a8ee6%2F58edff2f-e310-4713-9a6e-fb6bbb2e9ec8%2Fnga9rms_processed.png&w=3840&q=75)
Transcribed Image Text:One way to estimate the average value of a function on an interval is to split that
interval into a number of evenly-spaced sub-intervals, N, add up the value of the
function at each end point of a sub-interval (N+1 such end points in total), and then
divide that sum by the total number of end points of sub-intervals.
Write a function approximate_averagef(f, a, b, N) which uses the method de-
scribed above to calculate, print out, and return an approximation to the average
value of a given function f on an interval [a, b] using N + 1 end points of equally-
spaced subintervals (i.e., N subintervals).
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